1005332113 has 2 divisors, whose sum is σ = 1005332114. Its totient is φ = 1005332112.

The previous prime is 1005332087. The next prime is 1005332149. The reversal of 1005332113 is 3112335001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 939851649 + 65480464 = 30657^2 + 8092^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005332113 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005332813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502666056 + 502666057.

It is an arithmetic number, because the mean of its divisors is an integer number (502666057).

Almost surely, 2^1005332113 is an apocalyptic number.

It is an amenable number.

1005332113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005332113 is an equidigital number, since it uses as much as digits as its factorization.

1005332113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 1005332113 is about 31706.9726243298. The cubic root of 1005332113 is about 1001.7742212772.

Adding to 1005332113 its reverse (3112335001), we get a palindrome (4117667114).

The spelling of 1005332113 in words is "one billion, five million, three hundred thirty-two thousand, one hundred thirteen".